{"id":"https://openalex.org/W7165617781","doi":"https://doi.org/10.48550/arxiv.2606.23115","title":"Mass Conservation as an Inductive Bias for Self-Organized Criticality in NCA Reservoirs","display_name":"Mass Conservation as an Inductive Bias for Self-Organized Criticality in NCA Reservoirs","publication_year":2026,"publication_date":"2026-06-22","ids":{"openalex":"https://openalex.org/W7165617781","doi":"https://doi.org/10.48550/arxiv.2606.23115"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2606.23115","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23115","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2606.23115","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5139155296","display_name":"Tong Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Tong","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019390521","display_name":"Etienne Guichard","orcid":"https://orcid.org/0000-0002-3535-7179"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guichard, Etienne","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046387940","display_name":"Sidney Pontes-Filho","orcid":"https://orcid.org/0000-0002-0489-5652"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pontes-Filho, Sidney","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5139152650","display_name":"Stefano Nichele","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nichele, Stefano","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.8303999900817871,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12611","display_name":"Neural Networks and Reservoir Computing","score":0.8303999900817871,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12808","display_name":"Ferroelectric and Negative Capacitance Devices","score":0.13220000267028809,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10502","display_name":"Advanced Memory and Neural Computing","score":0.02280000038444996,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/criticality","display_name":"Criticality","score":0.8130000233650208},{"id":"https://openalex.org/keywords/cellular-automaton","display_name":"Cellular automaton","score":0.534600019454956},{"id":"https://openalex.org/keywords/conservation-of-mass","display_name":"Conservation of mass","score":0.504800021648407},{"id":"https://openalex.org/keywords/downstream","display_name":"Downstream (manufacturing)","score":0.37459999322891235},{"id":"https://openalex.org/keywords/classification-of-discontinuities","display_name":"Classification of discontinuities","score":0.3479999899864197},{"id":"https://openalex.org/keywords/reservoir-computing","display_name":"Reservoir computing","score":0.3416000008583069}],"concepts":[{"id":"https://openalex.org/C125611927","wikidata":"https://www.wikidata.org/wiki/Q17008131","display_name":"Criticality","level":2,"score":0.8130000233650208},{"id":"https://openalex.org/C35527583","wikidata":"https://www.wikidata.org/wiki/Q189156","display_name":"Cellular automaton","level":2,"score":0.534600019454956},{"id":"https://openalex.org/C157206272","wikidata":"https://www.wikidata.org/wiki/Q483948","display_name":"Conservation of mass","level":2,"score":0.504800021648407},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48910000920295715},{"id":"https://openalex.org/C2776207758","wikidata":"https://www.wikidata.org/wiki/Q5303302","display_name":"Downstream (manufacturing)","level":2,"score":0.37459999322891235},{"id":"https://openalex.org/C15627037","wikidata":"https://www.wikidata.org/wiki/Q541961","display_name":"Classification of discontinuities","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C135796866","wikidata":"https://www.wikidata.org/wiki/Q7315328","display_name":"Reservoir computing","level":4,"score":0.3416000008583069},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.322299987077713},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.32089999318122864},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.3192000091075897},{"id":"https://openalex.org/C74080474","wikidata":"https://www.wikidata.org/wiki/Q7305975","display_name":"Redistribution (election)","level":3,"score":0.29649999737739563},{"id":"https://openalex.org/C2989209122","wikidata":"https://www.wikidata.org/wiki/Q178512","display_name":"Mass transport","level":2,"score":0.2797999978065491},{"id":"https://openalex.org/C2984842247","wikidata":"https://www.wikidata.org/wiki/Q197536","display_name":"Deep neural networks","level":3,"score":0.27070000767707825},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.27000001072883606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2614000141620636}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2606.23115","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23115","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2606.23115","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2606.23115","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[{"display_name":"Life in Land","score":0.6173840165138245,"id":"https://metadata.un.org/sdg/15"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Self-organized":[0],"criticality":[1,143,174],"(SOC),":[2],"a":[3,12,51,151,167],"dynamical":[4],"regime":[5],"associated":[6],"with":[7,105,141],"maximal":[8],"information":[9],"processing,":[10],"offers":[11],"promising":[13],"foundation":[14],"for":[15,39,171],"reservoir":[16,140],"computing.":[17],"Recent":[18],"work":[19],"has":[20],"shown":[21],"that":[22,55,163],"neural":[23],"cellular":[24],"automata":[25],"(NCA)":[26],"can":[27],"be":[28],"evolved":[29,69,176],"toward":[30,66],"critical":[31],"avalanche":[32,113],"dynamics":[33],"and":[34,41,75,82,95,157],"employed":[35],"as":[36,62],"effective":[37,169],"reservoirs":[38,178],"memory":[40],"classification":[42],"tasks.":[43,137],"Here,":[44],"we":[45],"investigate":[46],"whether":[47],"mass":[48,59,164],"conservation":[49,123,165],"--":[50,60],"local":[52],"redistribution":[53],"rule":[54],"preserves":[56],"total":[57],"lattice":[58],"serves":[61],"an":[63],"inductive":[64],"bias":[65],"SOC":[67,155],"in":[68,175],"NCA":[70,77,100,177],"reservoirs.":[71],"We":[72],"compare":[73],"mass-conserving":[74],"standard":[76],"across":[78,112,134],"multiple":[79],"independent":[80],"runs":[81,107],"evaluate":[83],"both":[84,129],"on":[85],"three":[86,136],"downstream":[87,127,181],"benchmarks:":[88],"5-bit":[89],"sequential":[90,158],"memory,":[91],"MNIST":[92],"digit":[93],"classification,":[94],"CartPole-v1":[96],"temporal":[97,147],"control.":[98],"Mass-conserving":[99],"consistently":[101],"exhibit":[102],"stronger":[103],"criticality,":[104],"more":[106],"achieving":[108],"perfect":[109,142],"power-law":[110],"fits":[111],"distributions,":[114],"while":[115],"also":[116],"being":[117],"1.27$\\times$":[118],"faster":[119],"during":[120],"evolution.":[121],"Importantly,":[122],"does":[124],"not":[125],"impair":[126],"utility:":[128],"variants":[130],"achieve":[131],"comparable":[132],"performance":[133],"all":[135],"Furthermore,":[138],"the":[139,145],"achieves":[144],"highest":[146],"control":[148],"score,":[149],"suggesting":[150],"positive":[152],"link":[153],"between":[154],"quality":[156],"computation.":[159],"Our":[160],"results":[161],"demonstrate":[162],"is":[166],"simple,":[168],"mechanism":[170],"promoting":[172],"robust":[173],"without":[179],"sacrificing":[180],"performance.":[182]},"counts_by_year":[],"updated_date":"2026-07-01T06:00:48.157686","created_date":"2026-06-24T00:00:00"}